Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them.
The Essential Question:
How can we use percentages to compare different sets of data?
Notes from class: Are the numbers in this data chart still accurate as they are today? One of the key words of this part of the investigation is unit rate because I feel it holds significant use to what this part is talking about. The sports we used and the sports in the chart are very different. Done by Michael Koehlmoose, 2009, Block C.
Sports:
of Boys participating:
of Girls participating:
Biking:
7
6
Camping:
5
4
Walking:
9
7
Fishing:
4
4
Swimming:
8
7
A. Look back at three statements you wrote in part B of Problem 2.1 comparing the numbers of male and female participant in the various activities. Now, make the same comparisons for boys and girls in your class.
1. 80% of boys play volleyball for leisure.
2. 90% of boys watch TV. 3. 100% of the boys read. 1b. 75% of girls play football. 2b. 75% of girls bike. 3b. 50% of girls have camped.
B. Compare the statements about your class data to the statements about the national data.
1. The percentage of boys who bike is 3.7 times greater than the percentage of men who bike.
2. The percentage pf girls who fish is 4 times geater than the percentage of women who fish.
Write three statements comparing sports activiteis of all students in your class to those of:
1. 12 to 17 year olds in the national survey. 2. 55 to 64 year olds in the national survey.
1a. i. The percentage of boys who bike is 1.3 times greater than the percentage of teenagers who camp.
ii. The prcentage of boys who camp is 2 times greater than the percentage of teenagers who camp.
iii. The percentage of boys who excercise walk is 6.9 times greater thant the percentage of teenagers who exercise walk.
iv. The percentage of boys who fish is 1.7 times greater than the percentage of teenager who fish.
v. The percentage of boys who swim is 1.56 times greater than the percentage of teenagers who swim.
1b. i. The percentage o f girls who bike is 1.5 times greater than the percentage of teenagers who bike.
ii. The percentage of girls who camp is 2.2 times greater than the percentage of teenagers who camp.
iii. The percentage of girls who walk is 7.7 times greater than the percentage of teenagers who walk.
iv. The percentage of girls who fish is 2.5 times greater than the percnetage of teenager who fish.
v. The percentage of girls who swim is 1.9 times greater than the teenagers who swim.
2a. i. The percentage of boys who bike is 7.7 times greater than the percentage of old people.
ii. The percentage of boys who camp is 4.5 times greater than the percentage of old people.
iii. The percentage of boys who walk is 2.4 times greater than the percentage of old people.
iv. The percentage of boys who fish is 2.6 times greater than the percentage of old people.
v. The percentage of boys who swim is 6.1 times greater than the percentage of old people.
2b. i. The percentage of girls who bikeis 7.8 times greater than the percentage of old people.
ii. The percentage of girls who camp is 3.6 times greater than the percentage of old people.
iii. The percentage of girls who walk is 2.7 times greater than the percentage of old people.
iv. The percentage of girls who fish is 2.6 times greater than the percnetage of old people.
v. The percentage of girls who swim is 7.6 times greater than the percentage of old people.
Follow Up:
1. Write a paragraph telling how your class data is like the national data and how it is different, For aby ways in which you class data appears to be different from the natioanal data, give reasons why you think your class is different.
Our class and national survey are similar because bothe surveys are divide dinto male and female sections. Both surveys are based ond sports and recreational activities. I think there are a lot of differences between the surveys because the national survey has male and female sections, and teenagers and older adult sections as well. All the percentages of our class are greater than those from the national survey because of the huge number of people who took it. Our class's survey was only in numbers 1-17 people and the national survey was between the numbers 2,030,000-118,555,000 people. Another differences is that this survey counted anyone above age 17 who participated in that activity at least once a year, but our survey was between ages 11-13, of a similar age group and surveyed if we had ever done this at least twice in our lives. The class percentages were 'simple' percentages from small numbers that didn't really need a calculator to be used, but the percentages from small numbers that didn't really need a calculator to be used, but the percentages were made by big numbersdivided by even bigger number so therefore the percentages are smaller than those of our class.
2. In your class survey, you added several activities to the five listed in the national survey. Write at least three statements comparing the numbers of boys and girls in your class who participate in these activities.
1. There are fewer girls in our class so many times the percentages of girls and boys are similar.
2. The boys had the widest range of numbers for each activity.
3. The girls had the smallest range of numbers for each activity.
Wednesday, November 24, 2010
SPThe Big Idea:
Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them.
The Essential Question:How can we use percentages to compare different sets of data?
Notes from class: Are the numbers in this data chart still accurate as they are today? One of the key words of this part of the investigation is unit rate because I feel it holds significant use to what this part is talking about. The sports we used and the sports in the chart are very different. Done by Michael Koehlmoose, 2009, Block C.
A. Look back at three statements you wrote in part B of Problem 2.1 comparing the numbers of male and female participant in the various activities. Now, make the same comparisons for boys and girls in your class.
1. 80% of boys play volleyball for leisure.
2. 90% of boys watch TV.3. 100% of the boys read.
1b. 75% of girls play football.
2b. 75% of girls bike.
3b. 50% of girls have camped.
B. Compare the statements about your class data to the statements about the national data.
1. The percentage of boys who bike is 3.7 times greater than the percentage of men who bike.
2. The percentage pf girls who fish is 4 times geater than the percentage of women who fish.Write three statements comparing sports activiteis of all students in your class to those of:
1. 12 to 17 year olds in the national survey.2. 55 to 64 year olds in the national survey.
1a. i. The percentage of boys who bike is 1.3 times greater than the percentage of teenagers who camp.
ii. The prcentage of boys who camp is 2 times greater than the percentage of teenagers who camp.
iii. The percentage of boys who excercise walk is 6.9 times greater thant the percentage of teenagers who exercise walk.
iv. The percentage of boys who fish is 1.7 times greater than the percentage of teenager who fish.
v. The percentage of boys who swim is 1.56 times greater than the percentage of teenagers who swim.
1b. i. The percentage o f girls who bike is 1.5 times greater than the percentage of teenagers who bike.
ii. The percentage of girls who camp is 2.2 times greater than the percentage of teenagers who camp.
iii. The percentage of girls who walk is 7.7 times greater than the percentage of teenagers who walk.
iv. The percentage of girls who fish is 2.5 times greater than the percnetage of teenager who fish.
v. The percentage of girls who swim is 1.9 times greater than the teenagers who swim.
2a. i. The percentage of boys who bike is 7.7 times greater than the percentage of old people.
ii. The percentage of boys who camp is 4.5 times greater than the percentage of old people.
iii. The percentage of boys who walk is 2.4 times greater than the percentage of old people.
iv. The percentage of boys who fish is 2.6 times greater than the percentage of old people.
v. The percentage of boys who swim is 6.1 times greater than the percentage of old people.
2b. i. The percentage of girls who bikeis 7.8 times greater than the percentage of old people.
ii. The percentage of girls who camp is 3.6 times greater than the percentage of old people.
iii. The percentage of girls who walk is 2.7 times greater than the percentage of old people.
iv. The percentage of girls who fish is 2.6 times greater than the percnetage of old people.
v. The percentage of girls who swim is 7.6 times greater than the percentage of old people.
Follow Up:
1. Write a paragraph telling how your class data is like the national data and how it is different, For aby ways in which you class data appears to be different from the natioanal data, give reasons why you think your class is different.
Our class and national survey are similar because bothe surveys are divide dinto male and female sections. Both surveys are based ond sports and recreational activities. I think there are a lot of differences between the surveys because the national survey has male and female sections, and teenagers and older adult sections as well. All the percentages of our class are greater than those from the national survey because of the huge number of people who took it. Our class's survey was only in numbers 1-17 people and the national survey was between the numbers 2,030,000-118,555,000 people. Another differences is that this survey counted anyone above age 17 who participated in that activity at least once a year, but our survey was between ages 11-13, of a similar age group and surveyed if we had ever done this at least twice in our lives. The class percentages were 'simple' percentages from small numbers that didn't really need a calculator to be used, but the percentages from small numbers that didn't really need a calculator to be used, but the percentages were made by big numbersdivided by even bigger number so therefore the percentages are smaller than those of our class.2. In your class survey, you added several activities to the five listed in the national survey. Write at least three statements comparing the numbers of boys and girls in your class who participate in these activities.
1. There are fewer girls in our class so many times the percentages of girls and boys are similar.2. The boys had the widest range of numbers for each activity.
3. The girls had the smallest range of numbers for each activity.
Links:
Khan academy: Percents and Decimals